0
log(5)125 =
log(5) 5^(3) =
3log(5) 5 =
3 (1) = 3
Remember for any log base if the coefficient is the same as the base then the answer is '1'
Hence
log(10)10 = 1
log(a) a = 1
et.seq.,
You can convert the log base '5' , to log base '10' for ease of the calculator.
Log(5)125 = log(10)125/log(10)5
Hence
log(5)125 = log(10) 5^(3) / log(10)5 =>
log(5)125 = 3log(10)5 / log(10)5
Cancel down by 'log(10)5'.
Hence
log(5)125 = 3
NB one of the factors of 'log' is log(a) a^(n)
The index number of 'n' can be moved to be a coefficient of the 'log'.
Hence
log(a) a^(n) = n*log(a)a
Hope that helps!!!!!
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What is the log of 125?
What 'logarithm base are you using. If Base '10' per calculator The log(10)125 = 2.09691 However, You can use logs to any base So if we use base '5' Then log(5)125 = 3 Because 125 = 5^3
Suppose aneq 0. Compute log 2a 2b in terms of a and b.?
Due to the rubbish browser that we are compelled to use, it is not possible to use any super or subscripts so here goes, with things spelled out in detail: log to base 2a of 2b = log to base a of 2b/log to base a of 2a = [(log to base a of 2) + (log to base a of b)] / [(log to base a of 2) + (log to base a of a)] = [(log to base a of 2) + (log to base a of b)] / [(log to base a of 2) + 1]
What number has a log of 8.0573-10?
18.057299999999998
How do you make natural log to log with base of 10?
To make a natural log a log with the base of 10, you take ten to the power of you natural log. Ex: ln15=log10ln15=log510.5640138 I'm sorry if you don't have a calculator that can do this, but this will work.
How do you enter logarithms in a ti-84?
To enter a natural log, press the LN button. To enter a log with base 10, press the LOG button. To enter a log with a base other than those, divide the log of the number with the log of the base, so log6(8) would be log(8)/log(6) or ln(8)/ln(6). (The ln is preferred because in calculus it is easier to work with.)
